Stepping motor control circuit

ABSTRACT

Disclosed is a stepping motor control utilizing a microprocessor. The control is suitable for driving one or more stepping motors one at a time or in unison. In the illustrated embodiment when plural motors are driven together they are driven at the same rate or at rates in a fixed proportion to one another although several of the features of the invention are suitable for use in circuits providing contouring control; i.e., where separate motors are driven at separate stepping rates proportional to the relative distances each is to traverse for a single movement. An acceleration/deceleration circuit is utilized which provides simple yet highly accurate and efficient control of the stepping motors. Feed rate compensation for simultaneous drive of two motors is provided. Also a means is provided to allow stepping rates in excess of the counting rate capability of the microprocessor.

BACKGROUND OF THE INVENTION

This invention relates to numerical control systems for driving steppingmotors and more particularly to novel acceleration and rate controlstherefor.

Stepping motors have long been used to provide extremely accurate speedand particularly position control. Within the limits of system dynamicsa stepping motor increments one step each time a pulse controlled changeof polarity is applied to its windings. The steps are typically 1/200 or1/400 of a revolution per step and such low angular increments coupledwith a low pitch lead screw results in position changes of the drivenelement as low as 0.0001 inches per step. Driving a stepping motor atsteady state is not difficult and requires only an oscillator with thedesired frequency.

In many applications, for instance machine tools, substantial massesmust be driven with extreme positioning accuracy. Frequently the desiredvelocity of the driven member is such that the stepping motor mustaccelerate gradually over several hundred or thousand steps to avoidslipping and losing absolute synchronization with the driver.Deceleration, which is simply negative acceleration (the termacceleration being used herein to denote both positive and negativeacceleration in many cases), also requires careful control for the samereason.

Several schemes have been used heretofore for acceleration control.These schemes are generally sub-optional. The simple schemes such aslinear acceleration do not provide optimum equipment performance. Therate of acceleration with such a scheme must be fixed to allow thesystem to follow under the worst case conditions. Consequently the fullpower of the stepping motor is not utilized over much of theacceleration range. This results in appreciably slower average speeds,particularly with short incremental moves.

More sophisticated control regimens have heretofore required verycomplex controls and in many cases have still failed to provide theoptimum utilization of the motor/driven machinery combination.

In many applications it is desirable to drive two or more steppingmotors simultaneously. There are two general ways to accomplish this.One is to drive each stepping motor separately and control each at thedesired rate. An example of such an arrangement is shown in U.S. Pat.No. 3,069,608. Alternatively, the motors can be driven by the samecontrols at the same rate. When applied to a system wherein the twomotors are driving a member respectively along two axes at right anglesto one another, for instance an X-Y table, this allows a single step tobe taken along either axis or a 45° step to be taken when both motorsare simultaneously stepped.

The single drive approach is considerably simpler and less expensive. Ithas limitations, however, and has not been widely accepted for machinetool applications as a consequence. One important limitation relates tomaximum feed rate control in applications such as machine tools. Whenoperating both motors simultaneously and therefore operating at a 45°angle the resultant movement, for a constant X and Y stepping rate is√2, or approximately 1.4 times the velocity of an X only or Y only step.Since surface finish and tool life suffer at high feed rates andproduction suffers at low rates no fixed X and Y rate is fullysatisfactory for a machine having the capability of simultaneouslymoving in both directions. Some highly sophisticated controls utilizingseparate drivers for plural motors also include calculating means toalter the feed rate along each axis based on the angle of movement andthe resultant velocity. While providing a highly satisfactory control,such an approach is relatively cumbersome and expensive.

Recently the availability of moderately priced microprocessors hasgenerated interest in their utilization in a variety of applications.Such devices are of interest for numerical control equipment but havelimitations which pose problems to their efficient use in suchapplications. One such problem is that the resolution of stepping motorsis so high that storage and counting of the number of pulses (steps) fora particular move involves the handling of very large numbers at veryhigh speeds. These rates are frequently so high that they exceed thecapacity of the microprocessor. Consequently microprocessors cannot beused with conventional design in some applications and, when usable,limit or tend to limit the stepping rates available.

It is an object of this invention to provide a simple, accurate andhighly hardware efficient control for stepping motors includingacceleration control.

It is another object of this invention to provide a simple means of ratecontrol to maintain constant velocity movement while using a singledriver to drive two motors individually or simultaneously.

It is a further object of this invention to provide a means to minimizethe effect of large step storage data requirements on the size of amicrocomputer used in calculating step position information.

The above and other objects are efficiently achieved by the novelcircuit design disclosed herein.

SUMMARY OF THE INVENTION

In accordance with one aspect of the present invention an executivecontrol circuit is provided which utilizes two counters in a novel wayto control position and acceleration. The first counter is intially setto indicate the total number of pulses (steps) required to affect thedesired incremental move. The second counter is an up/down counter andis used primarily to control acceleration. It is at zero at the start ofany move. During positive acceleration the first counter is decrementedtwo steps for each step of the motor and the second counter isincremented one step for each step of the motor. Thus the second counterregisters the number of steps into the acceleration, which is directly(although preferably non-linearly) related to the stepping rate, at anygiven time and the sum of the count in the two counters indicates thetotal number of steps remaining in the move.

During non-accelerating operation the first counter is counted down tozero by one step for each step of the motor and the second counter isunchanged to retain a current stepping rate control. The sum of thecounts in the two counters still indicates the total number of stepsremaining in the move.

During negative acceleration the second counter is decremented one stepfor each step taken by the motor and the first counter is unchanged.Again the first counter contains a velocity related count and the sum ofthe counts in the two counters indicates the number of steps remainingin the move.

When the count in the first counter reaches zero the system deceleratesfor the number of steps indicated by the second counter. When the secondcounter reaches zero the move is complete.

In accordance with another aspect of the invention a means is providedto control the rate of the motor driving pulses depending on the numberof motors being driven by a single driver. A command is generated toindicate whether one or two axis movement is to be affected and thecommand is used to program a programmable divider to change the pulserate by a factor of approximately 1.4. The programmable divider isinterposed between the oscillator providing the maximum feed rate signaland the motor control pulse generating signal.

In accordance with another aspect of the invention a microprocessor isprovided with a limited rate of calculating speed. An external countdown counter is provided, typically of one or two decimal digitscapacity. The lowest order digits are stored in the external counter andthe high order digits are stored in the microprocessor. Pulses to becounted are fed to the external counter to count it down. The externalcounter is of the type which counts down through zero. Each time itreaches zero it provides a pulse to the microprocessor which counts thehigher order digits. A means is provided to determine when the count inthe microprocessor has been reached and the external counter is at zeroto determine the end of the count. The down counter can be conventionalor can count down by incrementing the complement of the number stored.

BRIEF DESCRIPTION OF THE DRAWINGS

The best mode contemplated of practicing the invention is illustrated inthe accompanying drawings in which:

FIGS. 1 and 2, collectively, are a schematic representation, partiallyin block diagram form, of the overall circuit of the present invention;

FIG. 3 is a step diagram useful in following the system logic; and

FIG. 4 is a graph showing speed vs. position for a stepping motor drivendevice under control of the present invention.

DESCRIPTION OF THE PREFERRED EMBODIMENT

FIGS. 1 and 2 collectively show the overall circuitry of the invention.The operation of the circuit as described and claimed can be implementedin many forms of specific components and circuits depending on thedesires of the designer and not material to the utility of theinvention. Because of this and for ease of explanation and understandingmuch of the circuit is shown in block diagram or generalized formshowing such detail as is necessary for a full understanding and toallow ready use of the invention.

In general terms the circuit includes two oscillators. One operates athigh frequency and provides the principal system speed andsynchronization. The second typically operates at lower frequency andprovides a means of controlling the acceleration of the stepping motorin a controlled manner. A logic means is provided to determine when themotor should be pulsed (stepped) depending on the speed of the motor andits point within the movement specified.

It will be helpful to an understanding of the invention to first referto FIG. 4 which shows a desirable speed versus position curve for amovement of an element driven by a stepping motor over a single move.The plateau represents the maximum desired speed which may beestablished, for example, by the desired feed rate on the machine tool.Because it is necessary to maintain absolute position control the motormust be accelerated at a rate which is sufficiently low to avoid anyslip. The dotted straight lines represent linear acceleration which, ofcourse, requires constant accelerating force. The accelerating force isprovided by the stepping motor torque but the torque available from thestepping motor decreases with increasing speed. Therefore to avoidexceeding the torque limit of the motor and slipping the straight lineacceleration must be at a rate dictated by the relatively low torqueavailable at relatively high speeds.

The solid curved line represents a more efficient acceleration with highacceleration at low speeds and lower acceleration at relatively highspeeds. The system characteristics, except for the effect of friction,are substantially identical on deceleration (negative acceleration) asis reflected by symmetrical form of the graph.

In general terms the functions of the stepping motor control is to pulsethe motor to drive it at the desired speed depending on position withinthe move while retaining absolute position control. For a short movethere may be no "steady state" operation, only acceleration anddeceleration. The "steady state" operation may be at an absolutelyconstant rate or may alternate between a speed just above and one justbelow the "steady state" level. For almost all applications either ofthese modes is equally acceptable. The latter is somewhat easier toimplement with the present invention and therefor is preferred.

Turning now to FIG. 1 a high frequency voltage controlled oscillator(VCO) 10 is used to provide a signal controlling the maximum steppingrate. Preferably the circuit disclosed in the previously mentioned U.S.pat. application of Caludio de Sa e Silvia is used for this oscillator.A potentiometer 11 connected to an appropriate voltage source indicatedas +E provides an input to the VCO 10 to permit operator rangeadjustment. A delay element 12 is provided to avoid the possibility ofinstantaneously dropping the oscillator rate because such action couldresult in attempting to decelerate the motor instantaneously which couldresult in loss of synchronization.

The output 13 of the VCO is a high frequency pulse train which providessynchronizer pulses to several points marked "sync" and numbered 13 inthe system logic. The pulse train 13 is also fed into a digital ratiomultiplier (also referred to in the art as a decimal rate multiplier orDRM) 14 where it is multiplied by a rate set digitally by the rate set15. The output 16 of the DRM 14 is an irregular pulse train having anaverage frequency proportional to the desired maximum steppingfrequency. To smooth out the irregularities in the pulse train 16dividers 17 and 18 are provided. For reasons which will later beexplained divider 17 is a programmable divider which divides by either 7or 10 depending on whether line 19 or line 20 is energized.

The output of the second divider 18 is a pulse train at 21 which is atthe maximum desired rate for pulsing the motors. The control logiccompares the maximum rate signal with a ramp rate signal 22 and severalother inputs and determines the rate of motor pulsing which isappropriate.

Following is a description of the portion of the circuit, shown in FIG.2, which generates the ramp rate signal 22 and the other inputs to thecontrol logic. The present invention preferably uses a microprocessor 23as its central data handling means. The microprocessor 23 receives datastored in data storage element 24 which may be in the form of aprogrammable read only memory (PROM) and may contain several kinds ofinformation for use in the overall system. As it relates to the presentinvention the information stored may be described as move informationindicating the axis or axes of movement, the direction of movement oneach axis, and the magnitude of movement. The circuitry described iscapable of moving along two axes simultaneously only in equal incrementsdriven by a single motor drive unit.

The move information is transferred from the date storage 24 to themicroprocessor 23 and acted on as follows. The lowest order digits,preferably two, of the move distance instructions are transferred to(read into) a down counter 25 and the high order digits are retained inthe microprocessor. The axis and direction commands are provided tomotor drivers 26 which provide polarity changes to the windings of themotors 27 and 28 in accordance with the commands. Typically the motordrivers 26 are provided with means to scale the input pulses to providea motor increment for each one, two, five or 10 control pulses. Thisallows compensation for varying mechanical systems while programming thecontroller simply in movement distances; e.g., thousandths of an inch.

An up/down counter 29 has an initial count of zero at the start of eachmove. Pulses are provided to the counter 29 on line 30 to increment ordecrement it depending on the signal 31. Counter 29 has three outputs;29a which is a digital representation of its count; 29b which indicatesthat it is in near overflow condition; and, 29c which indicates itscount is zero. Outputs 29a and c can be provided, for example, by ANDgating the highest order digits of 29a and NOR gating all of the digitsof 29a respectively. Pulses are provided to the down counter 25 on line32 and pulses are provided to the motor drivers 26 on the line 33. Themanner of providing pulses will hereafter be described in detail but forpurposes of understanding the operation of the circuit now underdiscussion it must be assumed that:

(1) Each pulse on the line 33 goes to the motor(s) to be driven;

(2) there is one pulse on line 30 to the up/down counter 29 for eachpulse on line 33 to the motor;

(3) the signal on 31 is such that the counter 29 counts up when themotor pulse signal on 33 is accelerating and such that the counter 29counts down when the signal on 33 is decelerating; and

(4) line 32 provides two pulses to counter 25 for each up count oncounter 29 and one pulse to counter 25 for each signal on 33 which isneither accelerating or decelerating.

Down counter 25 is of the type which counts through zero and provides anoutput signal when it is at zero. Thus if it is the preferred twodecimal digit counter it will go from "00" to "99." If it is a modulustwo (binary) counter it will go, for example, from "0000" to "1111." Itmust be capable of counting down at system rates on the order of 350 Kcwhich is in excess of the rate at which microprocessors generally canadd or subtract particularly when dealing with decimal numbers.

With a two decimal digit down counter 25, 350 Kc input pulses result in3.5 Kc output pulses on the equals zero output 34 which is fed into themicroprocessor 23 to accumulate for comparison against the high orderdigits stored therein. Down counter 25 and the microprocessor 23therefore act together as a high speed counter. The equals zero outputsfrom the downcounter 25 is gathered with the equals zero signal on theline 35 from the microprocessor by the AND gate 36 thereby providing anoutput on line 37 at the completion of the count.

As mentioned up/down counter 29 increments for each step of accelerationand decrements for each step of deceleration (negative acceleration).Thus the count it carries indicates the net acceleration of the systemwithin the move. This number in digital form is converted by digital toanalog converter 38 into an analog voltage proportional on line 39 tothe net acceleration. The output on 39 is fed into an amplifier 40 whichcan be adjusted to provide a variable slope to the acceleration curve;i.e., the curve in FIG. 4. The output 41 of the amplifier 40 is fed to ashaper circuit 42 which can be of any type adapted to the particularneeds of the system. Preferably it takes the form of the aforementionedcopending patent application to provide an input/output relationshipcorresponding to the curve of FIG. 4.

The output 43 of the shaper 44 is fed into a relatively low frequencyvoltage controlled oscillator 44 as the control voltage so that theoutput thereof (which is the previously described ramp rate signal 22)is a pulse train with a frequency equal to the desired rate of pulsingthe motor drivers 26 during acceleration and deceleration. This ratealso equals the rate of incrementing the motors if the drivers are setat a scaling factor of one. The oscillator 44 is preferably of the typedisclosed in the aforementioned patent application and includes agrounding or similar means whereby it can be turned off by an inhibitsignal on line 45.

Returning now to FIG. 1, the shaper input voltage 41 and the output ofpotentiometer 11 are feed into comparator 46 the function of which is tooverride a speed signal from the oscillator 44 and to prevent overfillof the up/down counter 29. The output 47 of the comparator 46 will bezero when the signal 46 is less than the control voltage from thepotentiometer 11.

An OR gate 48 "gathers" the various signals which inhibit operation ofthe logic including signal 47, the previous mentioned main countercomplete signal 37, near overflow signal 29b and other signals asdesired for the particular application which may indicate, for example,that the control is not executing, the rate is too high, that thecontrol is to be reset or that a "slide hold" function has been engaged.The output 49 of the OR gate 48 is fed into a further OR gate 50 whereit is collected with any desired optional inputs to provide a signal 51which indicates a condition in which deceleration is not to take placefor example to inhibit deceleration for continuous path contouring.

Signal 49 is also fed to an inverting (not) input of OR gate 52.Inverting inputs on logic elements are consistently shown herein assmall circles adjacent the logic element. The signal 29c indicating thatthe up/down counter 29 equals zero is also provided to an invertinginput of the OR gate 52; consequently its output 53 indicates acondition in which deceleration is possible.

Line 53 is one of three signals provided to the input of AND gate 54. Asecond input is provided on line 45 which eminates from the output (Qconnection) of the latch 55 which has at its C input the ramp rate pulsesignal 22 and as its D input a steady positive voltage indicated as +E.Line 45 also provides the inhibit signal, previously mentioned, to thelow frequency voltage controlled oscillator 44. The operation of thelatch 55 (and the other latches hereinafter to be discussed) is that thesignal on the D input is put and held (latched) on the Q output at suchtime as a positive signal transition is seen on the C input. The Qoutput is cleared (set to zero) when a positive signal is provided tothe R (reset) input and set to a positive signal when a positive signalis provided to the P (preset) input. Thus a pulse on line 22 produces anoutput at Q on line 45 to inhibit the low frequency voltage controlledoscillator and to the AND gate 54. Similarly, latch 56 receives themaximum rate signal 21 on input C and a constant voltage +E on the Dinput and therefore provides a held positive output at Q on line 57 forany pulse from line 21 until reset. The signal on line 57 is gatheredwith the signals 45 and 55 in the AND gate 54 providing a positivesignal on line 58 to the D input of latch 59. A synchronizing pulse fromthe output 13 of the high frequency voltage controlled oscillator 10 isapplied to the C input of the latch 59 to gate the signal 58 to the Qoutput of the latch 59 on line 60. The presence of a signal 60 may bethought of as indicating the completion of the first step of a four steplogic sequence illustrated in FIG. 3 as will hereinafter be discussed.Line 60 is connected to the reset inputs, R, on latches 55 and 56 toreset them to zero at the time of the first logic step.

A don't accelerate signal is generated on line 61 by the latch 62 whichhas as its reset signal, R, the output 49 of the OR gate 48 and as itspresent signal P the signal 29 C indicating that the up/down counter 29equals zero. The gate input C to latch 62 is the maximum rate signal 21and the signal input D thereof is the inhibit output 45 of latch 55provided through a delay element 63. Thus there is a positive don'taccelerate signal on 61 unconditionally when the up/down counter 29equals zero and also upon the coincidence of a maximum rate signal on 21and the continued existence (through the delay 63) of a ramp rate pulseon 22.

Returning now to FIG. 2, the don't decelerate signal on line 51, thefirst logic step signal on line 60 and the don't accelerate signal online 61 provide the inputs to a logic network comprising AND gates 64 to71, OR gates 72, 73 and 74 and latches 75, 76 and 77. The Q outputs oflatches 75, 76 and 77 are identified, solely for convenience, as Y₁, Y₂and Y₃, respectively.

FIG. 3 illustrates the operation of the logic circuitry as it stepsthrough the four logic steps associated with each motor step using theY₁, Y₂ and Y₃ designations previously described. The logic incrementsfrom step to step under the clock control of the synchronizer pulses.

Initially, Y₁, Y₂ and Y₃ are all zero as illustrated in the uppermostcircle. if there is a don't decelerate signal on line 51 the logic stepsdown the right hand path to the 1, 1, 1 state (i.e., where Y₁, Y₂ and Y₃are all positive); otherwise it steps down the left hand path to the 1,1, 0 state. The left hand branch for deceleration proceeds stepwise withno additional decision branches through the 1, 0, 0 and 0, 1, 0 statesand returns to the initial 0, 0, 0 state.

In the don't decelerate branch, the logic steps from the 1, 1, 1 stateto the 1, 0, 1 state with no decision branch. In the subsequent step afurther decision is made and the rightmost branch is following to the 0,1, 1 state upon acceleration while the leftmost branch is followed tothe 0, 0, 1 state for steady operation.

A Y₁ pulse on line 33 controls the motor drivers 26 to provide drivingpulses to the motors 27 and 28 as well as providing a control signal tothe logic. Because of the memory of the latch two successive steps eachhaving a Y₁ =1 state provide a single two logic step long pulse on 33and to the motor(s). This occurs in the first two logic steps whetherdecelerating or not. Such a stretched pulse to the motor and logic ishighly advantageous in some applications since many commonly used logicdevices are not well suited for operation at the rates associated withsingle pulses on line 33.

A Y₁ (not Y), and a Y₂ in combination provide a pulse to the up/downcounter 29 which is counted up if Y₃ =1 and counted down if Y₃ =0 (Y₃).Thus the up/down counter is incremented once for each acceleration step,decremented once for each deceleration step and not counted for eachsteady state step. The Y₁ and Y₂ signals are gathered by AND gate 70 toprovide counting pulses on line 30 to the up/down counter 29 and Y₃ isprovided on line 31 to the up/down control input of the counter 29 aspreviously described to effect the desired counting.

Y₂ and Y₃ are gathered by AND gate 71 to provide a pulse on line 32 tocount down the main down counter 25. As seen in FIG. 3, the decelerationpath includes no Y₂, Y₃ and, consequently, no pulses are provided tocounter 25 on deceleration. A Y₂, Y₃ pulse is provided in the first stepof the don't decelerate path and also in the third step of theaccelerate path. Therefore the main counter is counted down by one foreach motor step in the steady state mode and by two for eachacceleration step.

As disclosed herein the circuit provides the don't decelerate signal online 51 to control the branching decision at the first logic step viaAND gate 69, OR gate 74 and latch 77. The don't accelerate signal online 61 controls the third step branching decision in the don'taccelerate path and is provided unconditionally when the up/down counter29 equals zero and conditionally when the ramp rate signal 22 is of ahigher frequency than the maximum rate signal; i.e., when a ramp ratepulse on 22 is latched onto the Q output of latch 55 (thereby inhibitinga further pulse from the low frequency voltage controlled oscillator)and the D input of the latch 62 through the delay 63 before a maximumrate pulse on line 21 set to the latch 62. Consequently, with thepresent circuit the system will normally be always accelerating ordecelerating over a very small increment of speed difference expect whenthe up/down counter 29 equals zero. Although such precision is seldomrequired, the control logic is, however, equally adapted to hold asteady state speed if desired. For example, a circuit, not shown, can beprovided to provide a positive signal to the P input of latch 62 if theramp rate signal 22 and the maximum rate signal 21 were substantiallyequal.

As previously mentioned, the basic logic and circuitry of the presentinvention is highly flexible and can be used with a variety of optionalfeatures. One such feature is the ability to maintain velocity of theelement controlled by the motors 27 and 28 constant. This is done byproviding the motor drivers 26 with appropriate signals on line 80 frommicroprocessor 23 to indicate which one of the motors 27 and 28 are tobe driven for a particular move or if the move requires driving bothmotors simultaneously. If either motor alone is to be driven a signal isalso provided by the microprocessor 23 on line 19 to cause theprogrammable divider 17 to divide by 7. If both motors are to be drivensimultaneously, a signal is provided on line 20 to cause the divider 17to divide by 10. Thus the controlling maximum rate signal 21 varies by afactor approximately √2 depending on whether one of two motors aredriven simultaneously thereby maintaining the resultant maximum velocityof the part to be moved substantially constant. This provision of ameans to vary the maximum pulse rate by approximately √ 2 interposedbetween the oscillator 10 and the motors 27 and 28 substantiallysimplifies prior art devices which have required specific ratecalculations and/or relatively elaborate means to modify oscillatorfrequencies. This pulse rate correction is preferably done on a step bystep basis thereby correcting continuously for rate variations due tothe individual versus combined axis steps.

The controls herein disclosed are capable of many modifications to suitthe needs of individual applications. The foregoing description isintended as illustrative and not limiting, the protection hereof beingdefined solely by the spirit and scope of the following claims.

What is claimed is:
 1. A speed rate control for driving a stepping motorin response to pulses over a predetermined distance expressed in stepscomprising:(a) a first counting means for initially storing the numberof steps to be taken; (b) second counting means comprising an up/downcounter; (c) maximum speed signal input providing a signal related tothe maximum desired speed of driving the motor; (d) acceleration speedsignal generating means providing an output signal which relates to theinstantaneous desired speed of the motor and varies with the count inthe second counter; (e) means comparing the acceleration speed signalwith the maximum speed signal and generating control signals accordingto the following:(i) when the count in the first counter is above oneand the desired speed is below the maximum speed to provide singlepulses to the motor and to up-count the second counter and two pulsesfor each pulse to the motor to downcount the first counter; (ii) whenthe count in the first counter is exactly one to provide a single pulseto the motor, no pulses to the second counter and one pulse to downcountthe first counter; (iii) when the count in the first counter is zero andalso when the desired speed is greater than the maximum speed to providesingle pulses to the motor and a single pulse to downcount the secondcounter for each pulse to the motor and no pulses to the first counter.2. The control of claim 1 wherein said maximum speed signal inputcomprises a variable voltage source and a voltage controlled oscillator.3. The control of claim 2 wherein a delay means is interposed betweenthe variable voltage source and the voltage controlled oscillator. 4.The control of claim 2 further including a digital rate input means anda digital rate multiplier connected thereto and to the output of saidvoltage controlled oscillator.
 5. The control of claim 4 wherein a delaymeans is interposed between the variable voltage source and the voltagecontrolled oscillator.
 6. The control of claim 1 wherein saidacceleration speed signal generating means comprises a digital to analogconverter having its digital input connected to the output of saidsecond counting means and a voltage controlled oscillator connected tothe output of said digital to analog converter.
 7. The control of claim6 further including a shaping circuit interposed between the output ofsaid digital to analog converter and the input of said voltagecontrolled oscillator.
 8. The control of claim 6 wherein said maximumspeed signal input comprises a variable voltage source and a voltagecontroller oscillator.
 9. The control circuit of claim 8 wherein a delaymeans is interposed between the variable voltage source and the voltagecontrolled oscillator.
 10. The control of claim 8 further including adigital rate input means and a digital rate multiplier connected theretoand to the output of said voltage controlled oscillator.
 11. The controlof claim 10 wherein a delay means is interposed between the variablevoltage source and the voltage controlled oscillator.